10 (13) 15
35 (37) 40
45 (48) 50
60 (61) 65
90 (93) 95
<span>LMN≅PQR means that point L is equal to P, point M is equal to Q, and point N is equal to R. All lines are the same.
Point Q has an angle of 72, which means that point M also has an angle of 72.
Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:
72 + 36 + x = 180
Subtract 36 from both sides.
72 + x = 144
Subtract 72 from both sides.
x = 72
The angle of point L, x, is 72.
</span>
<u>The question does not specify the condition that must satisfy the given angles. We assume they are the internal angles of a triangle.</u>
Answer:
<em>x = 10</em>
Step-by-step explanation:
<u>Internal Angles of a Triangle</u>
The measure of the angles of a triangle are given as 48-x, 9x-38, and 90. Since the sum of the internal angles of a triangle is 180°:
48 - x + 9x - 38 + 90 = 180
Simplifying:
100 + 8x = 180
Subtracting 100:
8x = 180 - 100 = 80
x = 80/8
x = 10
Answer:
15.542%
Step-by-step explanation:
For uneven cash flows such as those in this problem, there is no formula for "internal rate of return" (IRR). It must be computed graphically or iteratively. Spreadsheets and financial calculators are equipped to do this calculation. Attached is the result of the calculation done by a graphing calculator.
The sum of "present value" of each of the cash flows is zero when the discount rate is the IRR.
